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 A141343 Riordan array (1,x/sqrt(2-sqrt(1+4x)). 2
 1, 0, 1, 0, 2, 1, 0, 2, 4, 1, 0, 4, 8, 6, 1, 0, 2, 16, 18, 8, 1, 0, 12, 24, 44, 32, 10, 1, 0, -12, 48, 90, 96, 50, 12, 1, 0, 72, 48, 180, 240, 180, 72, 14, 1, 0, -190, 160, 308, 544, 530, 304, 98, 16, 1, 0, 700, -40, 600, 1120, 1372, 1032, 476, 128 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Factorizes as (1,xc(-x))*(1,x(1+x)/(1-2x)) where c(x) is the g.f. of A000108. Row sums are A141344. Triangle T(n,k), 0<=k<=n, read by rows, given by [0, 2, -1, -1, -1, -1, -1, -1, -1, ...] DELTA [1, 0, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938. - Philippe Deléham, Nov 15 2008 LINKS EXAMPLE Triangle begins 1, 0, 1, 0, 2, 1, 0, 2, 4, 1, 0, 4, 8, 6, 1, 0, 2, 16, 18, 8, 1, 0, 12, 24, 44, 32, 10, 1, 0, -12, 48, 90, 96, 50, 12, 1 CROSSREFS Sequence in context: A227341 A098542 A320019 * A256678 A066709 A258051 Adjacent sequences:  A141340 A141341 A141342 * A141344 A141345 A141346 KEYWORD easy,sign,tabl AUTHOR Paul Barry, Jun 26 2008 STATUS approved

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Last modified September 16 15:58 EDT 2021. Contains 347473 sequences. (Running on oeis4.)